# 4 29 30 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 29   c = 30

Area: T = 56.99550655759
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 7.52987196087° = 7°31'43″ = 0.13114009456 rad
Angle ∠ B = β = 71.79900431357° = 71°47'24″ = 1.25329726229 rad
Angle ∠ C = γ = 100.6811237256° = 100°40'52″ = 1.75772190851 rad

Height: ha = 28.49875327879
Height: hb = 3.93106941776
Height: hc = 3.87996710384

Median: ma = 29.43663720591
Median: mb = 15.74400762387
Median: mc = 14.26553426177

Inradius: r = 1.80993671611
Circumradius: R = 15.26444793231

Vertex coordinates: A[30; 0] B[0; 0] C[1.25; 3.87996710384]
Centroid: CG[10.41766666667; 1.26765570128]
Coordinates of the circumscribed circle: U[15; -2.82991922883]
Coordinates of the inscribed circle: I[2.5; 1.80993671611]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.4711280391° = 172°28'17″ = 0.13114009456 rad
∠ B' = β' = 108.2109956864° = 108°12'36″ = 1.25329726229 rad
∠ C' = γ' = 79.31987627444° = 79°19'8″ = 1.75772190851 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    